Respuesta :

the value of $500 invested at 8% interest compounded continuously is given by 500e^(0.08 x 3) = 500e^0.24 = 500 x 1.2712 = $635.62
The answer... $635.62

Answer: $635.6

Step-by-step explanation:

The formula for compound interest continously is A = Pe ^rt

Where p is the Principal given as $500, e is a constant approximated as 2.718, r is the rate, given as 8%= 0.08, t is time given as 3years.

Slot the values into the formula:

500e ^(0.08 × 3)

500e^0.24

500 x 1.271

=$635.6

Therefore, the value of $500 invested at 8% interest compounded continuously is $635.6.

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